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Finding the Third Proportional to 60,590 and 128,572

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Solution

The third proportional to 60,590 and 128,572 is: 272,829.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,590 : 128,572 = 128,572 : x
  2. Step 2: Convert to fraction form
    60,590/128,572 = 128,572/x
  3. Step 3: Cross multiply
    60,590x = 128,572 × 128,572
  4. Step 4: Simplify right side
    60,590x = 16,530,759,184
  5. Step 5: Solve for x
    x = 16,530,759,184/60,590
  6. Step 6: Final answer
    x = 272,829.83

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.